Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576l |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-2840181387264 = -1 · 212 · 37 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -6 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,82384] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1044:1] |
Generators of the group modulo torsion |
j |
-53157376/951171 |
j-invariant |
L |
3.5574780999882 |
L(r)(E,1)/r! |
Ω |
0.67848351815287 |
Real period |
R |
0.21846994040024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bl1 36192ba1 |
Quadratic twists by: -4 -3 |